Anya is currently at $x_0 = 100$. She will do $10$ jumps as follows:

If after $i$ jumps, she is at coordinate $x_i$, then she will jump to some coordinate in the range $[0, x_i]$ chosen uniformly.

Let $P([a, b])$ denote the probability that after $10$ jumps Anya lies in the range $[a, b]$. Also, let